Merging of degree and index theory.
Mesocompactness and selection theory
A topological space is called mesocompact (sequentially mesocompact) if for every open cover of , there exists an open refinement of such that is finite for every compact set (converging sequence including its limit point) in . In this paper, we give some characterizations of mesocompact (sequentially mesocompact) spaces using selection theory.
Mesures de Gibbs sur les Cantor réguliers
Mesures uniformes maximales
Metacompactness and the class MOBI
Méthodes homologiques dans la théorie des applications et des champs de vecteurs sphériques dans les espaces de Banach [Book]
Méthodes topologiques dans la théorie des surfaces de Riemann
Metric characterizations of Banach spaces
Metric dimension and equivalent metrics
Metric enrichment, finite generation, and the path coreflection
We prove a number of results involving categories enriched over CMet, the category of complete metric spaces with possibly infinite distances. The category CPMet of path complete metric spaces is locally -presentable, closed monoidal, and coreflective in CMet. We also prove that the category CCMet of convex complete metric spaces is not closed monoidal and characterize the isometry--generated objects in CMet, CPMet and CCMet, answering questions by Di Liberti and Rosický. Other results include...
Metric Euclidean Projective and Topological Properties
Metric, Euclidean, Projective and Topological Properties
Metric fixed point theory for multivalued mappings [Book]
Metric locally constant function on some subset of ultrametric space.
Metric properties of positively ordered monoids.
Metric spaces admitting only trivial weak contractions
If (X,d) is a metric space then a map f: X → X is defined to be a weak contraction if d(f(x),f(y)) < d(x,y) for all x,y ∈ X, x ≠ y. We determine the simplest non-closed sets X ⊆ ℝⁿ in the sense of descriptive set-theoretic complexity such that every weak contraction f: X → X is constant. In order to do so, we prove that there exists a non-closed set F ⊆ ℝ such that every weak contraction f: F → F is constant. Similarly, there exists a non-closed set G ⊆ ℝ such that every weak contraction...
Metric spaces in pure and applied mathematics.
Metric spaces in which a strengthened form of Blumberg's theorem holds
Metric spaces in which Prohorov's theorem is not valid
Metric spaces over partially ordered semi-groups